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# Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2
# Folio 129r, page id 00068531:0257
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068531&page=257
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

et
gon.
est
LC. axiom.C
me Axionins Vires peultrandi
diversa media diasanaquibus pollent radus
ls
iptici eadem propritione angentur vel minunatur
matatione mediorum, eademque est proportio
inter vires penetrandi radiui incidentis et
refracti, quam inter pressus quibus afficerentur
s
aqualia pondera sastinerent
R5 medium densius. A obpectu
od
ADL, ACG PDH, PCF rectae
AC, AD radii incidentes CF, DH refract;
pondera 0, 1, t u absolute aequalia
inter se et porderi X. Sed eadem lineas
e suas premunt, (verd. gr. O lineam AC; i, lineam AD)
in ratione basium (BC, BD,) ad hypotenusas
ipsas (AC ADes Quia Scilicet fi, 2.
quvadqus) premat _k eadem gravitatis
aequale Gratiut ponylesasit
qua et At
d ab
Ais positis in hoc 5. An. droptrica concedi postulamus, eandem
este proportionem potentiae penetrandi radui incidentis AC ad potentiam
penetrandi radum ervri refracti CF, quam potentue penetrandi
radii incidentis AD ad potentiam radum refraiti DH: eandemque esse
hodpubandu en
proportonem inter viri penetrandi radiorum AC et CF, quam inter
hoc prol
momenta quibus equalia pondera O et T in ipsos gravitant. Vonimus
autem racios Opticos pulsare ac premere medium in quo sunt, eodem modo
quo in Coroll. 8. Propos. Mechanice demonstravinus pondus d in planum
inclinatum AC enc mnititur, gravitaee eo magis, quo angulus inclinationis
AC est major. Unde sequitur mutationem mediorum este causam
mutationis ponderum, et mutationem ponderum mutationis inclinationis
quo in densiore medio minuuntur, et in rariore augentur sucut pondera.
gaia meae ia pondera
propos. 2L iftr
Hinc colligit sinum inclinationum radiorum oblique
incidentium eandem inter se habere proportionem
quam sinus inclinationum radiorum refractorum
seu sinum anguli ACM esse ad sinum anguli AdN
ut sinum anguli pCM. ad sirum anguli pe
caeterum etsi h Hy pothesis Methanica in sc sit dabra
dubia quoque ejqus sit applicatio, tamen illuo hinc disimus
radias habere
dires
modum AC AC vires esse t loses BC Bd
potentiam radinus BC AC esse ad radium AB polentiam radus AB per penorcularis
ut BC, ad AC